Question 1

Solve.
-In how many ways can the letters in the word PAYMENT be arranged if the letters are taken 6 at a time?

Accepted Answer

A)  42 
B)  2520 
C)  7 
D)  5040 
A)  42 
B)  2520 
C)  7 
D)  5040

Question 2

Write the series in summation notation. Use the index i and let i begin at 1 in each summation.
--1 + 0 + 1 + 2 + 3

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 3

Find all the terms of the finite sequence.
-

Accepted Answer

A)  4, 16, 64, 256, 1024 
B)  1, 4, 16, 64, 256 
C)  1, 16, 81, 256, 625 
D)  16, 64, 256, 1024, 4096 
A)  4, 16, 64, 256, 1024 
B)  1, 4, 16, 64, 256 
C)  1, 16, 81, 256, 625 
D)  16, 64, 256, 1024, 4096

Question 4

Evaluate the expression.
-

Accepted Answer

A)  3,628,800 
B)  10 
C)  1 
D)  None of the above 
A)  3,628,800 
B)  10 
C)  1 
D)  None of the above

Question 5

Solve the problem.
-A saleswoman packed 3 jackets and 6 skirts. With one jacket, she could wear all 6 skirts. With another jacket, she could wear 5 skirts. With the other jacket, she could wear only 2 skirts. How many different combinations
Did she have?

Accepted Answer

A)  60 
B)  32 
C)  12 
D)  13 
A)  60 
B)  32 
C)  12 
D)  13

Question 6

Solve the problem.
-At a lumber company that sold shelves, a customer could choose from 4 types of wood, 3 different widths and 5 different lengths. How many different types of shelves could be ordered?

Accepted Answer

A)  35 
B)  48 
C)  12 
D)  60 
A)  35 
B)  48 
C)  12 
D)  60

Question 7

Solve the problem.
-A shoe store carried one brand of shoe in 4 styles, 4 sizes, and 5 colors. How many types of shoes were available for this one brand?

Accepted Answer

A)  64 
B)  80 
C)  13 
D)  40 
A)  64 
B)  80 
C)  13 
D)  40

Question 8

Find the sum of the given infinite geometric series if possible. Write the answer as a decimal number if appropriate.
-

Accepted Answer

A)  1 
B)  -0.5 
C)  -0.4 
D)  0.4 
A)  1 
B)  -0.5 
C)  -0.4 
D)  0.4

Question 9

Find the sum of the geometric series.
-

Accepted Answer

A)  -156 
B)  -2460 
C)  244 
D)  -7710 
A)  -156 
B)  -2460 
C)  244 
D)  -7710

Question 10

Find the sum of the series.
-

Accepted Answer

A)  7 
B)  9 
C)  14 
D)  5 
A)  7 
B)  9 
C)  14 
D)  5

Question 11

Find the first five terms of the infinite sequence whose nth term is given.
-

Accepted Answer

A)  2, 4, 8, 16, 32 
B)  1, 2, 4, 8, 16 
C)  4, 8, 16, 32, 64 
D)  1, 4, 9, 16, 25 
A)  2, 4, 8, 16, 32 
B)  1, 2, 4, 8, 16 
C)  4, 8, 16, 32, 64 
D)  1, 4, 9, 16, 25

Question 12

Find the indicated mean.
-Find the mean of the 7th through the 57th terms inclusive of the sequence an = 2n + 58.

Accepted Answer

A)  244 
B)  72 
C)  172 
D)  122 
A)  244 
B)  72 
C)  172 
D)  122

Question 13

Identify the sequence as arithmetic, geometric, or neither.
-

Accepted Answer

A)  Arithmetic 
B)  Neither 
C)  Geometric 
A)  Arithmetic 
B)  Neither 
C)  Geometric

Question 14

Solve the problem.
-What is the coefficient of   in the expansion of   ?

Accepted Answer

A)  60 
B)  4 
C)  20 
D)  15 
A)  60 
B)  4 
C)  20 
D)  15

Question 15

Find the sum of the given infinite geometric series if possible. Write the answer as a decimal number if appropriate.
-

Accepted Answer

A)  0.667 
B)  1.5 
C)  0.333 
D)  0.5 
A)  0.667 
B)  1.5 
C)  0.333 
D)  0.5

Question 16

Solve.
-How many ways can a president, vice-president, and secretary be chosen from a club with 12 members?

Accepted Answer

A)  1320 
B)  6 
C)  220 
D)  36 
A)  1320 
B)  6 
C)  220 
D)  36

Question 17

Solve the problem.
-A woman borrowed $20,000 at 14% interest compounded annually. If the loan was paid off at the end of 4 years, how much did she pay? Round to the nearest cent.

Accepted Answer

A)  $33,779.20 
B)  $22,800.00 
C)  $31,200.00 
D)  $13,779.20 
A)  $33,779.20 
B)  $22,800.00 
C)  $31,200.00 
D)  $13,779.20

Question 18

Write a recursion formula for the sequence.
-3, -9, 27, -81, . . .

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

Solve the problem.
-How many different three-digit numbers can be written using digits from the set {1, 2, 3, 4, 5} without any repeating digits?

Accepted Answer

A)  60 
B)  20 
C)  120 
D)  10 
A)  60 
B)  20 
C)  120 
D)  10

Question 20

Write the geometric series in summation notation.
-0.9 + 0.09 + 0.009 + . . .

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Solve. -In how many ways can the letters in the word PAYMENT be arranged if the letters are taken 6 at a time?

Write the series in summation notation. Use the index i and let i begin at 1 in each summation. --1 + 0 + 1 + 2 + 3

Find all the terms of the finite sequence. -

Evaluate the expression. -

Solve the problem. -A saleswoman packed 3 jackets and 6 skirts. With one jacket, she could wear all 6 skirts. With another jacket, she could wear 5 skirts. With the other jacket, she could wear only 2 skirts. How many different combinations Did she have?

Solve the problem. -At a lumber company that sold shelves, a customer could choose from 4 types of wood, 3 different widths and 5 different lengths. How many different types of shelves could be ordered?

Solve the problem. -A shoe store carried one brand of shoe in 4 styles, 4 sizes, and 5 colors. How many types of shoes were available for this one brand?

Find the sum of the given infinite geometric series if possible. Write the answer as a decimal number if appropriate. -

Find the sum of the geometric series. -

Find the sum of the series. -

Find the first five terms of the infinite sequence whose nth term is given. -

Find the indicated mean. -Find the mean of the 7th through the 57th terms inclusive of the sequence an = 2n + 58.

Identify the sequence as arithmetic, geometric, or neither. -

Solve the problem. -What is the coefficient of in the expansion of ?

Find the sum of the given infinite geometric series if possible. Write the answer as a decimal number if appropriate. -

Solve. -How many ways can a president, vice-president, and secretary be chosen from a club with 12 members?

Solve the problem. -A woman borrowed $20,000 at 14% interest compounded annually. If the loan was paid off at the end of 4 years, how much did she pay? Round to the nearest cent.

Write a recursion formula for the sequence. -3, -9, 27, -81, . . .

Solve the problem. -How many different three-digit numbers can be written using digits from the set {1, 2, 3, 4, 5} without any repeating digits?

Write the geometric series in summation notation. -0.9 + 0.09 + 0.009 + . . .

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Basic Algebra Review

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Exam 11: Sequences, Series, and Probability

Solve. -In how many ways can the letters in the word PAYMENT be arranged if the letters are taken 6 at a time?

Write the series in summation notation. Use the index i and let i begin at 1 in each summation. --1 + 0 + 1 + 2 + 3

Find all the terms of the finite sequence. -

Evaluate the expression. -

Solve the problem. -A saleswoman packed 3 jackets and 6 skirts. With one jacket, she could wear all 6 skirts. With another jacket, she could wear 5 skirts. With the other jacket, she could wear only 2 skirts. How many different combinations Did she have?

Solve the problem. -At a lumber company that sold shelves, a customer could choose from 4 types of wood, 3 different widths and 5 different lengths. How many different types of shelves could be ordered?

Solve the problem. -A shoe store carried one brand of shoe in 4 styles, 4 sizes, and 5 colors. How many types of shoes were available for this one brand?

Find the sum of the given infinite geometric series if possible. Write the answer as a decimal number if appropriate. -

Find the sum of the geometric series. -

Find the sum of the series. -

Find the first five terms of the infinite sequence whose nth term is given. -

Find the indicated mean. -Find the mean of the 7th through the 57th terms inclusive of the sequence an = 2n + 58.

Identify the sequence as arithmetic, geometric, or neither. -

Solve the problem. -What is the coefficient of in the expansion of ?

Find the sum of the given infinite geometric series if possible. Write the answer as a decimal number if appropriate. -

Solve. -How many ways can a president, vice-president, and secretary be chosen from a club with 12 members?

Solve the problem. -A woman borrowed $20,000 at 14% interest compounded annually. If the loan was paid off at the end of 4 years, how much did she pay? Round to the nearest cent.

Write a recursion formula for the sequence. -3, -9, 27, -81, . . .

Solve the problem. -How many different three-digit numbers can be written using digits from the set {1, 2, 3, 4, 5} without any repeating digits?

Write the geometric series in summation notation. -0.9 + 0.09 + 0.009 + . . .

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Basic Algebra Review

Filters